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Finding the Fourth Proportional to 2,589.95, 3,857.64 and 2,535.95

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Solution

The fourth proportional to 2,589.95, 3,857.64 and 2,535.95 is: 3,777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.95 : 3,857.64 = 2,535.95 : x
  2. Step 2: Convert to fraction form
    2,589.95/3,857.64 = 2,535.95/x
  3. Step 3: Cross multiply
    2,589.95x = 3,857.64 × 2,535.95
  4. Step 4: Simplify right side
    2,589.95x = 9,782,772.38
  5. Step 5: Solve for x
    x = 9,782,772.38/2,589.95
  6. Step 6: Final answer
    x = 3,777.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.